anonymous
  • anonymous
will give medal and fan!
Mathematics
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anonymous
  • anonymous
will give medal and fan!
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
The function H(t) = -16t2 + vt + s shows the height H (t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second. Part A: The projectile was launched from a height of 100 feet with an initial velocity of 60 feet per second. Create an equation to find the time taken by the projectile to fall on the ground. (2 points) Part B: What is the maximum height that the projectile will reach? Show your work. (2 points) Part C: Another object moves in the air along the path of g(t) = 20 + 38.7t where g(t) is the height, in feet, of the object from the ground at time t seconds. Use a table to find the approximate solution to the equation H(t) = g(t), and explain what the solution represents in the context of the problem? [Use the function H(t) obtained in Part A, and estimate using integer values] (4 points) Part D: Do H(t) and g(t) intersect when the projectile is going up or down, and how do you know? (2 points)
JoannaBlackwelder
  • JoannaBlackwelder
We are given the function with constants for the height and speed. Can you plug them in?
anonymous
  • anonymous
H(t)=-16t^2+100(60)+s would that right @JoannaBlackwelder

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anonymous
  • anonymous
anonymous
  • anonymous
JoannaBlackwelder
  • JoannaBlackwelder
Close, I get: 16t^2 + 60t +100
JoannaBlackwelder
  • JoannaBlackwelder
v=60 s=100
anonymous
  • anonymous
can you help me with parts c and d @JoannaBlackwelder
JoannaBlackwelder
  • JoannaBlackwelder
Sure, can you make a table of values of H(t) and g(t)?
anonymous
  • anonymous
g(t) h(t) 1 58.7 144 2 97.4 156 3 136.1 136 4 174.8 84
anonymous
  • anonymous
is that ok @JoannaBlackwelder
JoannaBlackwelder
  • JoannaBlackwelder
Yep, that's a good start? Do you know what we are looking for in the table?
anonymous
  • anonymous
the point were h(t)=g(t)
JoannaBlackwelder
  • JoannaBlackwelder
Yep, the point or points. :-) Do you see one so far?
anonymous
  • anonymous
at 3 they are the closest
JoannaBlackwelder
  • JoannaBlackwelder
Yep, I think we can say they are about the same at t=3. :-) So, what does that represent in the problem?
anonymous
  • anonymous
the point were they intersect?
JoannaBlackwelder
  • JoannaBlackwelder
Yep, that would be the point where the two objects would hit each other. :-)
anonymous
  • anonymous
for part d how do I know whether or not it is going down or up?
JoannaBlackwelder
  • JoannaBlackwelder
It would be going up if it is before the vertex, down if it is after.
JoannaBlackwelder
  • JoannaBlackwelder
Since the parabola is upside down
anonymous
  • anonymous
it would be going down ,right?
JoannaBlackwelder
  • JoannaBlackwelder
Yep :-)
anonymous
  • anonymous
can you help me with a couple more equations.
JoannaBlackwelder
  • JoannaBlackwelder
Possibly. But open a new question, please. And tag me :-)
anonymous
  • anonymous
ok

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